The exponent of the radicand is the numerator of the rational exponent. The index of the radical is the denominator of the rational exponent.
B
b
The exponent of the radicand is the numerator of the rational exponent. The index of the radical is the denominator of the rational exponent.
C
c
The exponent of the radicand is the numerator of the rational exponent. The index of the radical is the denominator of the rational exponent.
A
a
(3x)^()32
B
b
81^()1x
C
c
17^()x3
Practice makes perfect
a
When rewriting a radical into exponential form, the exponent of the radicand is the numerator of the rational exponent, and the index of the radical is the denominator of the rational exponent.
sqrt(a)=a^()1 n and sqrt(a^m)=a^() m n
With this in mind, we can rewrite the given expression.
&(sqrt(3x))^3 ⇔ ((3x)^()1 2 )^3
Now, let's simplify this expression as much as possible.
When rewriting a radical into exponential form, the exponent of the radicand is the numerator of the rational exponent, and the index of the radical is the denominator of the rational exponent.
sqrt(a)=a^()1 n and sqrt(a^m)=a^() m n
With this in mind, we can rewrite the given expression.
&sqrt(81) ⇔ 81^()1 x
c
When rewriting a radical into exponential form, the exponent of the radicand is the numerator of the rational exponent, and the index of the radical is the denominator of the rational exponent.
sqrt(a)=a^()1 n and sqrt(a^m)=a^() m n
With this in mind, we can rewrite the given expression.
&(sqrt(17))^x ⇔ (17^()1 3 )^x
Now, let's simplify this expression as much as possible.
